{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Fast Gaussian Process Inference Using Circulant Normal Distributions\n",
    "\n",
    "[Gaussian processes](https://en.wikipedia.org/wiki/Gaussian_process) (GPs) are powerful distributions for modeling functional data, but using them is computationally challenging except for small datasets. [Fast Fourier](https://en.wikipedia.org/wiki/Fast_Fourier_transform) methods can evaluate the likelihood efficiently if data lie on a regular grid. In this notebook, we use the `CirculantNormal` distribution to infer a latent GP with binary observations and compare with the standard `MultivariateNormal`.\n",
    "\n",
    "**tl;dr**: Using a `CirculantNormal` gives at least a ~10x speed up in terms of effective number of samples per second even for a small GP of 64 elements. \n",
    "\n",
    "We consider a latent Gaussian process $z(x)$ on a regular grid $x$ which encodes the log odds of binary outcomes $y$. More formally, the model is defined as\n",
    "$$\\begin{aligned}\n",
    "z&\\sim\\mathsf{MultivariateNormal}\\left(0, K\\right)\\\\\n",
    "y&\\sim\\mathsf{Bernoulli}\\left(\\mathrm{expit} (z)\\right),\n",
    "\\end{aligned}$$\n",
    "where $\\mathrm{expit}(z) = 1/\\left(1 + \\exp(-z)\\right)$ denotes the [logistic sigmoid](https://en.wikipedia.org/wiki/Sigmoid_function) and $K$ is the covariance matrix between elements of the Gaussian process evaluated on the grid. We use a [squared exponential kernel](https://www.cs.toronto.edu/~duvenaud/cookbook/) $k$ such that\n",
    "$$\\begin{aligned}\n",
    "K_{ij}&=k\\left(x_i,x_j\\right) + \\epsilon \\delta_{ij}\\\\\n",
    "&=\\sigma^2\\exp\\left(-\\frac{d\\left(x_i, x_j\\right)}{2\\ell^2}\\right) + \\epsilon \\delta_{ij},\n",
    "\\end{aligned}$$\n",
    "where $\\sigma$ is the marginal scale of the Gaussian process, $d\\left(x_i, x_j\\right)$ is the distance between $x_i$ and $x_j$, and $\\ell$ is the correlation length of the kernel. We add a so-called \"nugget variance\" $\\epsilon={10}^{-4}$ to the diagonal of the covariance matrix to ensure it is numerically positive definite.\n",
    "\n",
    "The `CirculantNormal` distribution requires a [circulant](https://en.wikipedia.org/wiki/Circulant_matrix) covariance, i.e., one with periodic boundary conditions. Not all kernels can be represented, but the effect of boundary can be mitigated by [padding the domain](https://gptools-stan.readthedocs.io/docs/padding/padding.html)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "!pip install -q numpyro@git+https://github.com/pyro-ppl/numpyro matplotlib"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Generating Synthetic Data\n",
    "\n",
    "In this example, we consider $n=64$ regularly spaced observations, correlation length $\\ell=5$, and marginal scale $\\sigma=2$. Depending on the `method` argument in the model below, a `CirculantNormal` or `MultivariateNormal` is used to sample $z$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from time import time\n",
    "\n",
    "from matplotlib import pyplot as plt\n",
    "\n",
    "import jax\n",
    "from jax import numpy as jnp, random\n",
    "from jax.scipy.special import expit\n",
    "\n",
    "import numpyro\n",
    "from numpyro import distributions as dist\n",
    "\n",
    "\n",
    "def model(x: jnp.ndarray, y: jnp.ndarray = None, *, method: str):\n",
    "    \"\"\"\n",
    "    Latent Gaussian process model with binary outcomes.\n",
    "\n",
    "    Args:\n",
    "        x: Observation grid.\n",
    "        y: Binary outcomes.\n",
    "        method: Likelihood evaluation method.\n",
    "    \"\"\"\n",
    "    n = x.size\n",
    "\n",
    "    # Sample parameters and evaluate the kernel.\n",
    "    sigma = numpyro.sample(\"sigma\", dist.HalfNormal())\n",
    "    length_scale = numpyro.sample(\"length_scale\", dist.InverseGamma(5, 25))\n",
    "    eps = 1e-4\n",
    "\n",
    "    if method == \"circulant\":\n",
    "        # We can evaluate the rfft of the covariance matrix directly. This both saves us\n",
    "        # some computation and is more numerically stable.\n",
    "        nrfft = n // 2 + 1\n",
    "        k = jnp.arange(nrfft)\n",
    "        covariance_rfft = (\n",
    "            sigma**2\n",
    "            * length_scale\n",
    "            * jnp.sqrt(2 * jnp.pi)\n",
    "            * jnp.exp(-2 * (jnp.pi * k * length_scale / n) ** 2)\n",
    "        ) + eps\n",
    "        zdist = dist.CirculantNormal(jnp.zeros(n), covariance_rfft=covariance_rfft)\n",
    "    elif method == \"cholesky\":\n",
    "        # Evaluate the covariance matrix.\n",
    "        distance = jnp.abs(x[:, None] - x)\n",
    "        distance = jnp.minimum(distance, n - distance)\n",
    "        covariance_matrix = sigma**2 * jnp.exp(\n",
    "            -(distance**2) / (2 * length_scale**2)\n",
    "        ) + eps * jnp.eye(n)\n",
    "        zdist = dist.MultivariateNormal(covariance_matrix=covariance_matrix)\n",
    "    z = numpyro.sample(\"z\", zdist)\n",
    "\n",
    "    with numpyro.plate(\"n\", n):\n",
    "        numpyro.sample(\"y\", dist.BernoulliLogits(z), obs=y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Having defined the model, we use a `substitute` handler to specify the parameters for synthetic data, initialize a random number key with a `seed` handler, record the model execution with a `trace` handler, and visualize the synthetic data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 921.6x691.2 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Sample from the prior predictive.\n",
    "with (\n",
    "    numpyro.handlers.trace() as trace,\n",
    "    numpyro.handlers.substitute(data={\"sigma\": 2, \"length_scale\": 5}),\n",
    "    numpyro.handlers.seed(rng_seed=9),\n",
    "):\n",
    "    x = jnp.arange(64)\n",
    "    model(x, method=\"circulant\")\n",
    "y = trace[\"y\"][\"value\"]\n",
    "\n",
    "\n",
    "# Plot the synthetic data.\n",
    "def plot_data(x, trace, ax):\n",
    "    ax.plot(\n",
    "        x, expit(trace[\"z\"][\"value\"]), label=\"latent Gaussian process $z(x)$\", color=\"k\"\n",
    "    )\n",
    "    ax.scatter(\n",
    "        x, y, label=\"binary observations $y$\", alpha=0.5, edgecolor=\"none\", color=\"k\"\n",
    "    )\n",
    "    ax.set_xlabel(\"covariate $x$\")\n",
    "\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "plot_data(x, trace, ax=ax)\n",
    "ax.legend(loc=\"lower right\", bbox_to_anchor=(1, 0.1))\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Sampling From the Posterior\n",
    "\n",
    "We use a [No-U-Turn-Sampler (NUTS)](https://www.jmlr.org/papers/volume15/hoffman14a/hoffman14a.pdf) to draw samples from the posterior using each of the two methods. We also record the effective number of samples per second, a common metric for evaluating the performance of samplers."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "sample: 100%|████████████████████████████████████████████████████████| 1000/1000 [00:08<00:00, 123.94it/s, 255 steps of size 5.30e-03. acc. prob=0.89]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "completed sampling in 12.800 seconds for circulant method\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "sample: 100%|████████████████████████████████████████████████████████| 1000/1000 [04:46<00:00,  3.48it/s, 1023 steps of size 5.02e-03. acc. prob=0.85]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "completed sampling in 288.168 seconds for cholesky method\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "samples_by_method = {}\n",
    "n_eff_per_second_by_method = {}\n",
    "for method in [\"circulant\", \"cholesky\"]:\n",
    "    # Sample from the posterior using the NUTS kernel and record the duration.\n",
    "    kernel = numpyro.infer.NUTS(model)\n",
    "    mcmc = numpyro.infer.MCMC(kernel, num_warmup=800, num_samples=200)\n",
    "    start = time()\n",
    "    mcmc.run(random.key(9), x, trace[\"y\"][\"value\"], method=method)\n",
    "    duration = time() - start\n",
    "\n",
    "    # Calculate the number of effective samples per second.\n",
    "    samples_by_method[method] = mcmc.get_samples()\n",
    "    n_eff_per_second_by_method[method] = {\n",
    "        name: site[\"n_eff\"] / duration\n",
    "        for name, site in numpyro.diagnostics.summary(\n",
    "            mcmc.get_samples(group_by_chain=True)\n",
    "        ).items()\n",
    "    }\n",
    "    print(f\"completed sampling in {duration:.3f} seconds for {method} method\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Having drawn posterior samples, we visualize them and compare with the synthetic data we fit the model to. The plot below shows the posterior median as a line and a band from the 5th to 95th percentile."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 921.6x691.2 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "plot_data(x, trace, ax=ax)\n",
    "for method, samples in samples_by_method.items():\n",
    "    lower, median, upper = jnp.percentile(\n",
    "        expit(samples[\"z\"]), jnp.array([5, 50.0, 95]), axis=0\n",
    "    )\n",
    "    (line,) = ax.plot(x, median, label=method)\n",
    "    ax.fill_between(x, lower, upper, color=line.get_color(), alpha=0.2)\n",
    "\n",
    "ax.legend(loc=\"upper center\", bbox_to_anchor=(0.5, 1.2), ncol=2)\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "So how well did we do? The runtime is about 20x faster using the `CirculantNormal`. The number of effective samples per second varies between parameters, but we observe a 4x to 84x improvement depending on the parameter. Experiments were run on a 2020 Macbook Pro with M1 chip."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "speedup for `length_scale`: min = 10.88, mean = 10.88, max = 10.88\n",
      "speedup for `sigma`: min = 84.40, mean = 84.40, max = 84.40\n",
      "speedup for `z`: min = 4.78, mean = 34.19, max = 80.74\n"
     ]
    }
   ],
   "source": [
    "# Report the speed up due to using the `CirculantNormal`.\n",
    "speedups = jax.tree.map(jnp.divide, *n_eff_per_second_by_method.values())\n",
    "for site, speedup in speedups.items():\n",
    "    print(\n",
    "        f\"speedup for `{site}`: min = {speedup.min():.2f}, \"\n",
    "        f\"mean = {speedup.mean():.2f}, max = {speedup.max():.2f}\"\n",
    "    )"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
